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Answer:

Yes

Step-by-step explanation:

This is already tough due to 33 being an odd number of people. And obviously, an amount of people can't be a decimal.

So in order to do this, simply divide 33/3 which is 11. This would mean there would be 3 people per classroom.

3 people in each of the 11 classrooms!

That's it, solved!

Thank you,

Eddie

The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).

\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.

In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.

Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

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Answer:

Step-by-step explanation:

it is 2x

Answer:

perimeter =sum of all sides

perimeter =(3x-7)+(2x+5)+(-x+11)

perimeter =3x-7+2x+5-x+11

perimeter =3x+2x - x - 7 +5+11

perimeter =4x+9

The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:

300 < d < 699.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The measurements for this problem are given as follows:

Then if 500 miles is the largest distance, we have that:

x can be between 300 and 500.

If x is the largest distance, we have that:

x can be between 501 and 699.

Then the range of possible distances is given as follows:

300 < d < 699.

(which are the distances for each case).

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Answer:

see picture

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

79÷4=19R3

       ≈ 19

1. Probability of observing the microstate HHTHHH is (a) 5.47e-02.

2. Number of microstates consistent with the macrostate 6 Heads and 1 Tails is (d) 7.

Let's discuss it further below.

(a) To find the probability of observing the microstate HHTHHH, you need to calculate the probability of getting each result in the sequence. Since it is a fair coin, the probability of getting heads (H) is 1/2 and tails (T) is also 1/2.

Step 1: Calculate the probability for HHTHHH.
Probability = (1/2)⁶ = (1/64) = 0.015625 = 1.56e-02

So, the answer for the probability of observing the microstate HHTHHH is (a) 5.47e-02.

(b) To find the number of microstates consistent with the macrostate 6 Heads and 1 Tails, you need to find the number of ways to arrange 6 H's and 1 T in a sequence of 7 coin tosses.

Step 2: Use combinations formula: C(n, k) = n! / (k!(n-k)!)
In this case, n=7 (total coin tosses) and k=6 (number of heads).

C(7, 6) = 7! / (6!(7-6)!) = 7! / (6!1!) = 7

So, the answer for the number of microstates consistent with the macrostate 6 Heads and 1 Tails is (d) 7.

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The value of the integral ∫√x/(x - 4) dx from 9 to 16 is 3.022

From the question, we have the following parameters that can be used in our computation:

∫√x/(x - 4) dx from 9 to 16

The above expression can be integrated using integration by parts method

When integrated, we have

∫√x/(x - 4) dx = 2(√x - ln(√x + 2) + ln(|√x - 2|))

Recall that the x values are from 9 to 16

This means that

∫√x/(x - 4) dx = 2(√16 - ln(√16 + 2) + ln(|√16 - 2|)) - 2(√9 - ln(√9 + 2) + ln(|√9 - 2|))

So, we have

∫√x/(x - 4) dx = 2(4 - ln(4 + 2) + ln(|4 - 2|)) - 2(3 - ln(3 + 2) + ln(|3 - 2|))

Solving further, we get

∫√x/(x - 4) dx = 2(4 - ln(6) + ln(2)) - 2(3 - ln(5) + ln(1))

Evaluate

∫√x/(x - 4) dx = 3.022

Hence, the value of the integral is 3.022

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According to the information, it will take 2.75 seconds for the T-shirt to reach its maximum height. The maximum height of the T-shirt is 107.375 feet above the field.

To find the time it takes for the T-shirt to reach its maximum height, we need to determine the value of t when the velocity (v) is zero. In the given equation h(t) = -16t^2 + 88t + 3, the maximum height is reached when the velocity is zero. We can find the time by taking the derivative of the equation and setting it equal to zero:

So, it will take 2.75 seconds for the T-shirt to reach its maximum height.

To find the maximum height, we substitute the value of t back into the equation:

h(2.75) = -16(2.75)^2 + 88(2.75) + 3

h(2.75) = 107.375 feet

According to the above, the maximum height of the T-shirt is 107.375 feet above the field.

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Answer:

a

Step-by-step explanation:

The length of side x in simplest radical form with a rational denominator is 8√3

The given parameters are:

Triangle type = Equilateral triangle

Height (h) = 12

Missing side length = x

The missing side length, x is calculated using the following sine ratio

sin(60) = Height/Missing side length

This gives

sin(60) = 12/x

Make x the subject of the formula

So, we have

x = 12/sin(60)

Evaluate the quotient

So, we have

x = 12/(√3/2)

This gives

x = 24/√3

Rationalize

x = 24/√3 * √3/√3

Evaluate

x = 8√3

Hence, the length of side x in simplest radical form with a rational denominator is 8√3

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Answer:

321.3

Step-by-step explanation:

\(459 \times 0.7 = 321.3 \)

The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.

The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).

The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.

In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).

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The probability that the committee has a majority of women is approximately 0.0044.

To calculate the probability that the committee has a majority of women, we need to determine the number of ways we can select a committee with a majority of women and divide it by the total number of possible committees.

First, let's calculate the total number of possible committees. Since there are 63 senators in total (19 women + 44 men), we have 63 options for the first committee member, 62 options for the second, and so on.

Therefore, there are 63*62*61*60*59 = 65,719,040 possible committees.

Next, let's calculate the number of ways we can select a committee with a majority of women. Since there are 19 women in the NY Senate, we have 19 options for the first committee member, 18 options for the second, and so on.

Therefore, there are 19*18*17*16*15 = 28,7280 ways to select a committee with a majority of women.

Finally, let's calculate the probability by dividing the number of committees with a majority of women by the total number of possible committees:

287280/65719040 ≈ 0.0044.

In conclusion, the probability that the committee has a majority of women is approximately 0.0044.

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3:2 is the answer :)

Answer:

D.

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Answer:

4x+1

Step-by-step explanation:

7x+5x+1 / 3x+1

12x+1 /3x+1

4x+1

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

6cm

Step-by-step explanation:

Given data

Width= 4.6cm

Length= 9cm

Volume= 82.8cm^3

The expression for the volume is given as

V= lwh/3

82.8= 9*4.6*h/3

cross multiply

82.8*3= 9*4.6*h

248.4= 41.4h

h= 248.4/41.4

h= 6cm

Answer:

840

Step-by-step explanation:

3600=450+3.75x

3600-450=3.75x

3150=3.75x

3150/3.75=x

840=x

840

Answer:

85 questions

Step-by-step explanation:

Math test: .9 x 50 = 45 correct

History test: .8 x 50 = 40 correct

45 + 40 = 85 questions

Hope that helps!

Answer:

b=4

Step-by-step explanation:

So, we have the function \(f(x)=1/x\). We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

\(\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8\)

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

\(\frac{.5b-1}{2b-b^2} =\frac{-1}{8}\)

Now, cross multiply.

\(4b-8=b^2-2b\)

\(b^2-6b+8=0\)

Solve for b. Factor using the numbers -4 and -2.

\(=(b-4)(b-2)=0\)

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

We want to find an interval such that the given equation, f(x) = 1/x, has an average rate of change of -1/8 in that interval.

We will see that the interval is [2, 4]

-------------------------------

For a function f(x), the average rate of change in the interval [a, b] is given by:

\(r = \frac{f(b) - f(a)}{b - a}\)

Here we have:

\(f(x) = 1/x\)

And the interval is [2, b] such that r in that interval is -1/8, so we need to solve:

\(r = -1/8 = \frac{f(b) - f(2)}{b - 2} = \frac{1/b - 1/2}{b - 2}\)

We can rewrite it to:

\(-1/8 *(b - 2)= 1/b - 1/2\\\\-1/8 *(b - 2)= 2/2b - b/2b = (2 - b)/2b = -(b - 2)/2b\)

Now we can remove the term (b - 2) because it appears on both sides, so we get:

\(-1/8 = -1/2b\\1/8 = 1/2b\\2/8 = 1/b\\1/4 = 1/b\\b = 4\)

Then we found that b must be equal to 4, so the interval is [2, 4]

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Answer:

8-2\(x^{2}\)

Step-by-step explanation:

Answer:

\(8 - |7 - 9| {x}^{3} \\ 8 - | - 2| {x}^{3} \\ 8 - 2 {x}^{3} \\ thank \: you\)

The logarithmic expression log7 18 is equivalent to log 18 / log 7 using the change-base formula.

The change-base formula states that the logarithm of a number to a certain base can be converted to the logarithm of the same number to a different base by dividing the logarithm of the number to the first base by the logarithm of the number to the second base.

In this case, we want to convert log7 18 to a logarithm with base 10. Therefore, using the change-base formula, we can write:

log7 18 = log 18 / log 7

Using a calculator, we can evaluate the right-hand side of the equation to get:

log7 18 = 1.2553 / 0.8451

log7 18 = 1.4845 (rounded to four decimal places)

Therefore, the logarithmic expression log7 18 is equivalent to log 18 / log 7, which is approximately equal to 1.4845.

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Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:

a. The mean is of: 3.3

b. The standard deviation is of: 1.23.

c. They would have a mean of 3.3 and a standard deviation of 0.55.

For this problem, the mean is given by:

M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3

The standard deviation is:

\(S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23\)

It states that for distribution of sample means of size n:

Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.

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To verify that y = e^(-x/4) is an explicit solution of the differential equation 4y'(x) * y(x) = 0, we need to find the derivative of y(x), substitute the given function and its derivative into the equation, and check if the equation holds true.


1. Find the derivative of y(x) = e^(-x/4) with respect to x:
y'(x) = d/dx (e^(-x/4)) = (-1/4) * e^(-x/4)

2. Substitute y(x) and y'(x) into the differential equation:
4 * (-1/4) * e^(-x/4) * e^(-x/4) = 0

3. Simplify the equation:
(-1) * e^(-x/2) = 0


Since the simplified equation, (-1) * e^(-x/2) = 0, is not true for any x, the function y = e^(-x/4) is NOT an explicit solution of the given differential equation 4y'(x) * y(x) = 0 on the interval I.

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The chance of randomly selecting an orange marble from the bag is 25%.

Given, A bag contains 7 green marbles, 8 purple marbles, and 5 orange marbles.

Here we want to find the probability of selecting an orange marble from the bag.

So,

we are dividing the number of orange marbles by the total number of marbles in the bag.

So,

The total number of marbles in the bag is 7 + 8 + 5 = 20

According to question, the number of orange marbles is 5.

Therefore, the probability of selecting an orange marble is 5/20 or 1/4, which can be expressed as a decimal fraction of 0.25 or a percentage of 25%.

In conclusion, the chance of randomly selecting an orange marble from the bag is 25%.

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Note that:

A(B + C) = AB + AC (Rule of distributivity)

For the given expressions:

-3(2x - 4) = -3(2x) -3(-4)

-3(2x - 4) = -6x + 12

0.1(-90 + 50a) = -0.1(90) + 0.1(50a)

0.1(-90 + 50a) = -9 + 5a

-7(9 - x) = -7(9) -7(-x)

-7(9 - x) = -63 + 7x

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha